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2 years ago

9

You estimated that you would need 252 more points to move up a level on your favorite video game. But after earning just 240more

points, you leveled up! What was your percent error?

1 answer:

Virty [35]2 years ago

7 0

Answer:

5%

Step-by-step explanation:

(240-252/240)×100

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To write 10-7 in standard form, you would write a decimal number with:

Natali5045456 [20]

10^-7 = 0.0000001

Its the 3rd choice.

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4 years ago

A rectangular field has dimension of 91 feet by 60 and 1/3 feet what is the area of the field

Oliga [24]

Answer:

Area = $91*\frac{181}{3}=5490\frac{1}{3}$ square feet

Step-by-step explanation:

The area of a rectangle is given by the formula:

A = length * width

Where length is 91 feet and width is $60\frac{1}{3}$ feet

Before we do the multiplication, we have to change the mixed number [width] into an improper fraction by using the rule shown below:

$a\frac{b}{c}=\frac{(a*c)+b}{c}$

Hence,

$60\frac{1}{3}=\frac{181}{3}$

So, the area is:

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4 years ago

If cos Θ = square root 2 over 2 and 3 pi over 2 < Θ < 2π, what are the values of sin Θ and tan Θ? sin Θ = square root 2 ov

densk [106]

Answer:

$\huge\boxed{\sin\theta=-\dfrac{\sqrt2}{2};\ \tan\theta=-1}$

Step-by-step explanation:

We have:

$\\cos\theta=\dfrac{\sqrt2}{2},\ \dfrac{3\pi}{2}$

For sine use:

$\sin^2x+\cos^2x=1\to\sin^2x=1-\cos^2x$

Substitute:

$\sin^2\theta=1-\left(\dfrac{\sqrt2}{2}\right)^2\\\\\sin^2\theta=1-\dfrac{(\sqrt2)^2}{2^2}\\\\\sin^2\theta=1-\dfrac{2}{4}\\\\\sin^2\theta=\dfrac{4}{4}-\dfrac{2}{4}\\\\\sin^2\theta=\dfrac{4-2}{4}\\\\\sin^2\theta=\dfrac{2}{4}\to\sin\theta=\pm\sqrt{\dfrac{2}{4}}\\\\\sin\theta=\pm\dfrac{\sqrt2}{\sqrt4}\\\\\sin\theta=\pm\dfrac{\sqrt2}{2}$

θ in IV quadrant, therefore sine is negative.

$\sin\theta=-\dfrac{\sqrt2}{2}$

For tangent use:

$\tan x=\dfrac{\sin x}{\cos x}$

Substitute:

$\tan\theta=\dfrac{-\frac{\sqrt2}{2}}{\frac{\sqrt2}{2}}=-\dfrac{\sqrt2}{2}\cdot\dfrac{2}{\sqrt2}=-1$

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C is the answer. Hope this helps

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